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LCM of 304, 336, 569, 133

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 304, 336, 569, 133 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 304, 336, 569, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,336,569,133

Given numbers are 304,336,569,133

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 304,336,569,133 is 3632496.

Find LCM of 304,336,569,133 with Prime Factorization


2 304, 336, 569, 133
2 152, 168, 569, 133
2 76, 84, 569, 133
2 38, 42, 569, 133
7 19, 21, 569, 133
19 19, 3, 569, 19
1, 3, 569, 1

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 7 x 19 x 1 x 3 x 569 x 1 = 3632496

Therefore, the lowest common multiple of 304,336,569,133 is 3632496.

LCM Formula to Find Lowest Common Multiple of 304,336,569,133

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

304 x 336 x 569 x 133 = 7729951488

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

569 : 1, 569

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,336,569,133, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

336:2x 2x 2x 2x 3x 7

569:569

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 7x 19 = 2128

Therefore, the value for common factors is 2128.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7729951488/(1x2128)

LCM = 7729951488/2128

LCM = 3632496

Thus, we can understand that the LCM of 304,336,569,133 is 3632496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 336, 569, 133

1. What is the LCM of 304, 336, 569, 133?

Answer: LCM of 304, 336, 569, 133 is 3632496.

2. How to calculate the LCM of 304, 336, 569, 133?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 304, 336, 569, 133.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.